Projection optical system and projector apparatus

ABSTRACT

A projection optical system ( 2 ) projects from a DMD ( 7 ) on a reducing side onto a screen ( 9 ) on an enlargement side, and includes: a first refractive optical system ( 10 ) that forms a first intermediate image ( 51 ) on the enlargement side using light incident from the reducing side; a second refractive optical system ( 20 ) that forms the first intermediate image ( 51 ) on the reducing side into a second intermediate image ( 52 ) on the enlargement side; and a first reflective optical system ( 30 ) including a first reflective surface ( 31   a ) with positive refractive power that is positioned on the enlargement side of the second intermediate image ( 52 ), wherein the second refractive optical system ( 20 ) includes a first focus lens group ( 61 ) that moves when focusing is carried out, and the first focus lens group ( 61 ) includes at least one lens (L 13 ) included in the second refractive optical system ( 20 ).

CROSS-REFERENCES

This application is a divisional of U.S. application Ser. No.14/400,820, filed Nov. 13, 2014, which is a 371 National Stage ofPCT/JP2013/007653, filed Dec. 26, 2013, which applications areincorporated herein by reference.

TECHNICAL FIELD

The present invention relates to a projection optical system of aprojector apparatus.

BACKGROUND ART

Japanese Laid-Open Patent Publication No. 2004-258620 (hereinafter“Document 1”) discloses the realization of a projection optical systemwhich, in addition to using an image forming optical system including areflective surface to increase the size on the screen of projectedimages while reducing the projection space outside a projectorapparatus, is capable of correcting chromatic aberration and also animage projecting apparatus that uses such projection optical system. Todo so, Document 1 discloses that a first and second optical system aredisposed in that order from a light valve on the projection side of thelight valve, the first optical system includes at least one refractiveoptical system and has positive refractive power, the second opticalsystem includes at least one reflective surface with refractive powerand has positive refractive power, an image formed by the light valve isformed into an intermediate image on the light path of the first andsecond optical systems, and the intermediate image is enlarged furtherand projected onto a screen.

DISCLOSURE OF THE INVENTION

In a variety of applications such as presentations and schools andeducation, there is demand for a projection lens system that projectsimages that are sharp and wide angle.

A first aspect of the present invention is a projection optical systemthat projects from a first image plane on a reducing side onto a secondimage plane on an enlargement side. The projection optical systemincludes: a first refractive optical system that forms a firstintermediate image on the enlargement side using light incident from thereducing side; a second refractive optical system that forms the firstimage on the reducing side into a second intermediate image on theenlargement side; and a first reflective optical system including afirst reflective surface with positive refractive power that ispositioned on the enlargement side of the second intermediate image,wherein the second refractive optical system includes a first focus lensgroup that moves when focusing is carried out, and the first focus lensgroup includes at least one lens included in the second refractiveoptical system.

In this projection optical system, the first refractive optical systemforms a first intermediate image, the second refractive optical systemforms the first intermediate image into a second intermediate image onthe enlargement side, and the second intermediate image is enlarged andreflected by the first reflected surface. It is not easy to provide asystem with a design where the aberration produced when the secondintermediate image is enlarged and reflected is corrected at the firstreflective surface. But, in this projection optical system, the secondrefractive optical system can form the second intermediate image so asto curvature of field and the like produced by the first reflectivesurface are corrected, and the first refractive optical system can forma first intermediate image in which coma aberration and the likeproduced by the second refractive optical system are corrected.Accordingly, it is easy to project sharp enlarged images. In addition,in this projection optical system, when carrying out focusing, a firstfocus lens group including at least one lens out of the secondrefractive optical system is moved. By this focus lens group, it is easyto form a second intermediate image where fluctuations in aberrationthat accompany changes in the projection distance and the like arecorrected and easy to suppress fluctuations in the image formationperformance for the projected images.

With a projection optical system that is wide-angle and has a shortfocal length, it is easy to produce a deep depth of field and a deepdepth of focus. For this reason, although it is easy to suppressfluctuations in focus near the center of the projected images thataccompany changes in the optical distance (projection distance) betweenthe first reflective surface and the second image plane, there is also atendency for fluctuations in curvature of field to increase in theperiphery of the projected images. Accordingly, it is desirable for thefirst focus lens group to include a first distance correcting lens groupthat moves when focusing is carried out in response to changes in anoptical distance between the first reflective surface and the secondimage plane. It becomes easy to project sharp enlarged images in whichfluctuations in curvature of field that accompany changes in theprojection distance are corrected.

It is easy to separate image flux for each image angle in the vicinityof the image formation position of the first intermediate image. Forthis reason, it is desirable for the first distance correcting lensgroup to include a first lens that is positioned closest to a reducingside of the second refractive optical system. When carrying outfocusing, by moving the first lens that is closest to the firstintermediate image, it is possible to carry out fine adjustment of focuswhile suppressing fluctuations in aberration that accompany focusing.Accordingly, it is easy to project sharp, enlarged images in which focusfluctuations that accompany changes in the projection distance are morethoroughly suppressed.

It is desirable for the first focus lens group to include a firsttemperature correcting lens group that moves when focusing is carriedout in response to changes in the peripheral temperature of theprojection optical system. More sharp enlarged images is projected inwhich fluctuations in focus due to changes in the refractive indices oflenses that accompany changes in the temperature of the periphery of theprojection optical system are corrected.

It is desirable for the first refractive optical system to include asecond focus lens group that moves when focusing is carried out, and forthe second focus lens group to include at least one lens included in thefirst refractive optical system. When carrying out focusing, by movingthe second focus lens group that includes at least one lens out of thefirst refractive optical system, it is possible to reduce the movementdistance of the first focus lens group. This means that it is possibleto suppress interference between the first focus lens group and thefirst intermediate image and possible to carry out focusing by hardlymoving the image formation position of the first intermediate image.Accordingly, it is possible to provide a compact projection opticalsystem where it is easy to suppress fluctuations in the image formationperformance for projected images.

It is desirable for the second focus lens group to include a seconddistance correcting lens group that moves when focusing is carried outin response to changes in an optical distance between the firstreflective surface and the second image plane. It is easy to project asharp enlarged image where fluctuations in focus that accompany changesin the projection distance over a wide range are suppressed. It isdesirable for the second focus lens group to include a secondtemperature correcting lens group that moves when focusing is carriedout in response to changes in the peripheral temperature of theprojection optical system.

It is desirable for the first reflective surface to not move whenfocusing is carried out in response to changes in the optical distancebetween the first reflective surface and the second image plane. By notmoving the first reflective surface in response to changes in theprojection distance, it is possible to carry out focusing withoutchanging the optical distance between the first image plane and thefirst reflective surface. This means that it is possible to reduce theinfluence (tolerance sensitivity) that the mounting tolerance of thefirst reflective surface has on the image formation performance for theprojected images.

It is desirable for the first refractive optical system to include anegative lens of meniscus type (negative meniscus lens) whose convexsurface is oriented toward the enlargement side, and for the secondrefractive optical system to include a positive lens of meniscus type(positive meniscus lens) that is positioned closest to a reducing sideof the second refractive optical system and whose convex surface isoriented toward the reducing side. By sandwiching the first intermediateimage between a convex surface of the negative lens positioned on thereducing side of the first intermediate image and a convex surface ofthe positive lens positioned on the enlargement side of the firstintermediate image, it is possible to suppress the generation of comaaberration and spherical aberration. It is desirable for the negativelens to be position closest to the enlargement side of the firstrefractive optical system. It is easy to separate image flux for eachimage angle in the vicinity of the image formation position of the firstintermediate image. In addition, by making the convex surface of thenegative lens and the convex surface of the positive lens aspherical, itis possible to also effectively correct off-axis aberration includingcurvature of field, astigmatism, distortion and the like.

In this projection optical system, it is desirable for a Petzval sumPTZ1 of the first refractive optical system, a third-order aberrationcoefficient DST1 of distortion of the first refractive optical system, athird-order aberration coefficient TCO1 of coma aberration of the firstrefractive optical system, a Petzval sum PTZ2 of the second refractiveoptical system, a third-order aberration coefficient DST2 of distortionof the second refractive optical system, and a third-order aberrationcoefficient TCO2 of coma aberration of the second refractive opticalsystem to satisfy Conditions (1) to (3) below.

|PTZ1|<|PTZ2|  (1)

|DST1|<|DST2|  (2)

−0.5<|TCO1|−TCO2|<0.5   (3)

In this projection optical system, according to Condition (1), thesecond refractive optical system has a larger correction effect forcurvature of field than the first refractive optical system, accordingto Condition (2), the second refractive optical system has a largercorrection effect for distortion than the first refractive opticalsystem, and according to Condition (3), the correction effect for comaaberration is substantially equal for the first refractive opticalsystem and the second refractive optical system. This means that it ispossible to reduce the correction load of the second refractive opticalsystem. Accordingly, it is possible to simplify the configuration of thesecond refractive optical system and to make the second refractiveoptical system compact.

In addition, it is desirable for a curvature of field FC1 of the firstintermediate image and a curvature of field FC2 of the secondintermediate image to satisfy Conditions (4) and (5) below.

0<FC1×FC2   (4)

0.03<|FC1|  (5)

In this projection optical system, it is desirable for principal rayemitted from the first intermediate image to be oriented toward anoptical axis of the second refractive optical system.

Another aspect of the present invention is a projector apparatusincluding: the projection optical system described above; and a lightmodulator that forms an image at the first image plane.

Yet another aspect of the present invention is a projector systemincluding: a projection optical system that projects from a first imageplane on a reducing side to a second image plane on an enlargement side;and a focusing mechanism that carries out focusing of the projectionoptical system. The projection optical system of the projector systemincludes: a first refractive optical system that forms a firstintermediate image on the enlargement side using light incident from thereducing side; a second refractive optical system that forms the firstimage on the reducing side into a second intermediate image on theenlargement side; and a first reflective optical system including afirst reflective surface with positive refractive power that ispositioned on the enlargement side of the second intermediate image, andthe focusing mechanism includes a mechanism that moves at least one lensincluded in the second refractive optical system.

Yet another aspect of the present invention is a method of carrying outfocusing of a projection optical system that projects from a first imageplane on a reducing side to a second image plane on an enlargement side.The projection optical system includes: a first refractive opticalsystem that forms a first intermediate image on the enlargement sideusing light incident from the reducing side; a second refractive opticalsystem that forms the first image on the reducing side into a secondintermediate image on the enlargement side; and a first reflectiveoptical system including a first reflective surface with positiverefractive power that is positioned on the enlargement side of thesecond intermediate image, and the method includes moving at least onelens included in the second refractive optical system.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a diagram showing the overall configuration of a projectorapparatus that uses a projection optical system according to the presentinvention.

FIG. 2 is a diagram showing the overall configuration of the projectionoptical system according to a first embodiment.

FIG. 3 is a light ray diagram of the projection optical system accordingto the first embodiment.

FIG. 4 is a diagram showing lens data of the projection optical systemaccording to the first embodiment.

FIG. 5 is a diagram showing various values of the projection opticalsystem according to the first embodiment, with (a) showing the distancesbetween lenses at the first and the second projection positions, (b)showing fundamental data, and (c) showing aspherical surface data.

FIG. 6 is a coma aberration graph at the first projection position ofthe projection optical system according to the first embodiment.

FIG. 7 is a coma aberration graph at the second projection position ofthe projection optical system according to the first embodiment.

FIG. 8 is a distortion graph at the first projection position of theprojection optical system according to the first embodiment.

FIG. 9 is a distortion graph at the second projection position of theprojection optical system according to the first embodiment.

FIG. 10 is a diagram showing the overall configuration of a projectionoptical system according to a second embodiment.

FIG. 11 is a light ray diagram of the projection optical systemaccording to the second embodiment.

FIG. 12 is a diagram showing lens data of the projection optical systemaccording to the second embodiment.

FIG. 13 is a diagram showing various values of the projection opticalsystem according to the second embodiment, with (a) showing thedistances between lenses at the first and the second projectionpositions, (b) showing fundamental data, and (c) showing asphericalsurface data.

FIG. 14 is a coma aberration graph at the first projection position ofthe projection optical system according to the second embodiment.

FIG. 15 is a coma aberration graph at the second projection position ofthe projection optical system according to the second embodiment.

FIG. 16 is a distortion graph at the first projection position of theprojection optical system according to the second embodiment.

FIG. 17 is a distortion graph at the second projection position of theprojection optical system according to the second embodiment.

FIG. 18 is a light ray diagram of a projection optical system accordingto a third embodiment.

FIG. 19 is a light ray diagram of a projection optical system accordingto a fourth embodiment.

FIG. 20 is a light ray diagram of a projection optical system accordingto a fifth embodiment.

DETAIL DESCRIPTION

FIG. 1 shows the overall configuration of a projector apparatus thatuses a projection optical system according to the present invention. Aprojector (projector apparatus) 6 includes a light modulator (lightvalve) 7, an illumination optical system 8 that illuminates the lightvalve 7 with illumination light to be modulated, and a projection system150 that projects an image formed by the light valve 7 onto a screen 9.The projection system 150 includes a projection optical system 1 thatenlarges and projects the images formed by the light valve 7 whose imageplane is a first image plane on the reducing side, by the projectinglight 90 onto a screen 9 that is a second image plane on the enlargementside, and a focusing mechanism (focusing unit) 80 that carries outfocusing of the projection optical system 1.

The light valve 7 may be a device capable of forming an image such as anLCD (liquid crystal display panel), a digital mirror device (DMD) or anorganic EL display, and may be a single panel-type device or a devicethat uses a method where images of different colors are individuallyformed. Note that the light valve 7 may be a reflective LCD or atransmissive LCD, and if the light valve 7 is a transmissive-type, theillumination optical system 8 is disposed on the opposite side of thelight valve 7 in the direction of a first optical axis 100 of theprojection optical system 1. A typical light valve 7 is a singlepanel-type video projector that uses a DMD, and the illumination opticalsystem 8 includes a white light source, such as a halogen lamp, and arotating color splitting filter (color wheel) in the form of a disc,with the DMD 7 forming images in the three colors red, green, and blueaccording to time division. Note that in FIG. 1, the DMD 7 shows thefirst plane set on the DMD. The screen 9 may be a wall surface, a whiteboard, or the like, the projector 6 may be a front projector, or a rearprojector that includes a screen.

The projection optical system 1 projects from the DMD 7 that is a firstimage plane on the reducing side onto the screen 9 that is the secondimage plane on the enlargement side. The projection optical system 1includes a first refractive optical system 10 that includes a pluralityof lenses and forms a first intermediate image 51 on the enlargementside using light that is incident from the reducing side, a secondrefractive optical system 20 that includes a plurality of lenses andforms the first intermediate image 51 on the reducing side into a secondintermediate image 52 on the enlargement side, and a first reflectiveoptical system 30 that includes a first reflective surface 31 a that haspositive refractive power and is positioned on the enlargement side ofthe second intermediate image 52.

The focusing unit 80 that carries out focusing of the projection opticalsystem 1 includes a distance detecting unit 81 that detects the opticaldistance (projecting distance) between the first reflective surface 31 aand the screen 9 and a temperature detection unit 82 that detects theperipheral temperature of the projection optical system 1. The focusingunit 80 may include a first mechanism that moves at least one lensand/or reflective surface included in the first refractive opticalsystem 10, the second refractive optical system 20, and the firstreflective optical system 30, in response to changes in the projectingdistance detected by the distance detecting unit 81. The focusing unit80 may also include a second mechanism that moves at least one lensand/or reflective surface included in the first refractive opticalsystem 10, the second refractive optical system 20, and the firstreflective optical system 30 in response to changes in the peripheraltemperature detected by the temperature detection unit 82.

In this projection optical system 1, the first intermediate image 51,the second intermediate image 52, and the image formed by the firstreflective surface 31 a are respectively formed on opposite sides of theoptical axis 100 that is common to the first refractive optical system10 and the second refractive optical system 20. That is, the projectionoptical system 1 is designed so that light ray (principal ray) 90 thatconnects the center of the screen 9 and the center of the DMD 7 crossesthe optical axis 100 three times. The light rays 90 crosses the opticalaxis 100 twice between the DMD 7 and the first reflective surface 31 a.That is, the DMD 7 and the first reflective surface 31 a can be disposedin the same direction with respect to the optical axis 100, that is, thesame direction (a first direction 101 a (the downward direction in FIG.1)) with respect to a first plane 101 that includes the optical axis100. Both of the illumination optical system 8 that illuminates the DMD7 and the first reflective surface 31 a can dispose the first direction(downward) 101 a to the first plane 101 and commonly utilize a space tothe first plane 101. Accordingly, the height (thickness) of theprojector 6 including the projection optical system 1 and theillumination optical system 8 can be reduced.

FIG. 2 shows the projection optical system 1 according to a firstembodiment. FIG. 3 shows a light ray diagram of the projection opticalsystem 1. This projection optical system 1 is a fixed focus (singlefocus)-type projection optical system that is non-telecentric on theincident (reducing) side and does not carry out zooming. The projectionoptical system 1 includes, in order from the side of the DMD 7 on thereducing side, the first refractive optical system 10 that includes sixlenses L1 to L6, the second refractive optical system 20 that includesfive lenses L7 to L11, and the first reflective optical system 30 thatincludes a single mirror (concave mirror) 31 equipped with the firstreflective surface 31 a. In the projection optical system 1, the imageformed on the light valve 7 that is the first image plane is enlargedand projected by the first refractive optical system 10, the secondrefractive optical system 20, and the first reflective optical system 30onto the screen 9 that is the second image plane. Note that the firstrefractive mirror (mirror surface) for bending the optical axis 100 atan appropriate position or positions.

The first refractive optical system 10 is a lens system that as a wholehas positive refractive power and is composed of a positive lens L1 thatis biconvex, a cemented lens (balsam lens, doublet) LB1 where two lensesare stuck together, a positive lens L4 that is biconvex, a positive lensL5 that is biconvex, and a negative meniscus lens L6 whose convexsurface S11 is oriented toward the enlargement side, disposed in thatorder from the DMD 7 side. The cemented lens LB1 is composed of apositive lens L2 that is biconvex and a negative lens L3 that isbiconcave disposed in that order from the DMD 7 side. The convex surfaceS3 on the DMD 7 side (reducing side) of the positive lens L2 is anaspherical surface. In addition, both surfaces of the negative lens L6,that is, the concave surface S10 on the DMD 7 side and the convexsurface S11 on the mirror 31 side (enlargement side), are asphericalsurfaces. The DMD 7 is disposed on the reducing side of the firstrefractive optical system 10 with a cover glass CG in between. The firstrefractive optical system 10 forms an image on the light valve 7, whichis the first image plane, into the first intermediate image 51 in aspace 41 between the first refractive optical system 10 and the secondrefractive optical system 20.

The second refractive optical system 20 is a lens system that as a wholehas positive refractive power and is composed of a positive meniscuslens L7 whose convex surface S12 is oriented toward the reducing side, apositive lens L8 that is biconvex, a positive meniscus lens L9 whoseconvex surface S16 is oriented toward the reducing side, and a cementedlens LB2 where two lenses are stuck together, disposed in that orderfrom the DMD 7 side. The cemented lens LB2 is composed of a negativemeniscus lens L10 whose convex surface S18 is oriented toward thereducing side and a positive lens L11 that is biconvex. Both surfaces ofthe positive lens L7, that is, the convex surface S12 on the DMD 7 sideand the concave surface S13 on the mirror 31 side, are asphericalsurfaces. The second refractive optical system 20 forms the firstintermediate image 51 as the second intermediate image 52 in a space 42between the second refractive optical system 20 and the first reflectivesurface 31 a.

The first reflective optical system 30 is a mirror system that as awhole has positive refractive power and is composed of the mirror(concave mirror) 31 that has the first reflective surface (mirrorsurface) 31 a. The first reflective surface 31 a of the mirror 31 is anaspherical surface. By projecting the second intermediate image 52 ontothe screen 9 that is the second image plane, the first reflectiveoptical system 30 enlarges and projects the image on the DMD 7 onto thescreen 9. Note that although lens surfaces and mirror surfaces(reflective surfaces) included in the projection optical system 1 arespherical or aspherical surfaces with rotational symmetry, such surfacesmay be surfaces that do not exhibit rotational symmetry, for example,free-formed curved surfaces. This also applies to the embodimentsdescribed below.

In this projection optical system 1, the first intermediate image 51 andthe second intermediate image 52 are formed (inverted) on opposite sidesof the optical axis 100. This means that light flux that reaches thesecond intermediate image 52 from the first intermediate image 51becomes concentrated in the periphery of the optical axis 100 as thelight propagates toward the enlargement side. Accordingly, it ispossible to reduce the lens diameters on the enlargement side of thesecond refractive optical system 20 relative to the lens diameters onthe reducing side. This means that it is possible to make the secondrefractive optical system 20 compact. In addition, since it is possibleto make the lens diameters on the enlargement side of the secondrefractive optical system 20 smaller, it is possible to suppressinterference between the second refractive optical system 20 and lightflux (projecting light) reflected by the first reflective surface 31 a.This means that it is easy to reduce the optical distance (distance inair, air gap) between the second refractive optical system 20 and thefirst reflective surface 31 a and to make the first reflective surface31 a smaller.

In the projection optical system 1, it is preferable for the second lensfrom the enlargement side of the second refractive optical system 20 tohave positive refractive power. In addition, it is desirable for thethird lens from the enlargement side of the second refractive opticalsystem 20 to have positive refractive power. In addition, it is muchmore desirable for the lens closest to the enlargement side (the finallens) of the second refractive optical system 20 to be a cemented lenswhere convex surfaces are oriented toward both sides. The projectionoptical system 1 in the present embodiment satisfies all of theconditions described above, the positive lens L9 and the positive lensL8 with positive refractive power are disposed as the second and thirdlenses from the enlargement side of the second refractive optical system20, and a cemented lens LB2 with the convex surfaces S18 and S20oriented toward both sides is disposed as the final lens on theenlargement side of the second refractive optical system 20. By thisarrangement where a lens with negative refractive power is not disposedimmediately before the final lens, the light flux that reaches thesecond intermediate image 52 converges effectively. Accordingly, it ispossible to significantly reduce the lens diameter on the enlargementside of the second refractive optical system 20. This means that it ispossible to suppress interference between the second refractive opticalsystem 20 and the light flux reflected by the first reflective surface31 a and it is not necessary to cut the lenses on the enlargement sideof the second refractive optical system 20. Accordingly, it is desirablefor the second refractive optical system 20 to be entirely composed oflenses with positive refractive power, including or except for the finallens. It is easy to concentrate light flux that reaches the secondintermediate image 52 from the first intermediate image 51 in theperiphery of the optical axis 100 and possible to emit projecting lightthat is closer to the optical axis 100 from the first reflective surface31 a. Accordingly, it is possible to make effective use up a regionclose to the optical axis 100 of the first reflective surface 31 a andto enlarge and project a wide-angle image onto the screen 9 with a largeangle of view and a low angle of elevation relative to the optical axis100.

In the projection optical system 1, the first refractive optical system10 forms the first intermediate image 51, the second refractive opticalsystem 20 forms such first intermediate image 51 into the secondintermediate image 52 on the enlargement side, and the first reflectivesurface 31 a reflects and enlarges the second intermediate image 52. Thesecond intermediate image 52 is reflected and enlarged at the firstreflective surface 31 a, and it is possible to make the image on the DMD7 extremely wide angle, but the light ray paths that reach the screen 9from the second intermediate image 52 drastically change, so a largeamount of distortion and curvature of field occur. It is not so easy toproduce a design where various aberrations such as distortion andcurvature of field (keystone distortion) are corrected at the firstreflective surface 31 a. Accordingly, in the projection optical system1, the first reflective surface 31 a is assumed to have distortion andcurvature of field and the second refractive optical system 20 forms thesecond intermediate image 52 in which distortion and curvature of field,out of the aberrations produced by the first reflective surface 31 a,are mainly corrected. In addition, the first refractive optical system10 forms the first intermediate image 51 in which coma aberration to beproduced by correction stage of the second refractive optical system 20and the distortion and curvature of field remaining after correction bythe second refractive optical system 20 are pre-corrected. This meansthat it is possible to provide the projection optical system 1 that iscapable of projecting sharp and extremely wide-angle images onto thescreen 9.

The second refractive optical system 20 of the projection optical system1 includes a first focus lens group 61 that moves when focusing(adjusting focus) in response to a change in the environment ofprojection, such as the projecting distance, peripheral temperature, andperipheral humidity. The first focus lens group 61 according to thepresent embodiment includes a distance correcting lens group (firstdistance correcting lens group) 71 that moves when carrying out focusingin response to changes in the optical distance (projecting distance) V3between the first reflective surface 31 a and the screen 9. The distancecorrecting lens group 71 is composed of the first lens (positive lens)L7 positioned closest to the reducing side out of the five lenses L7 toL11 included in the second refractive optical system 20.

This projection optical system 1 is a pan focus-type optical system thatis ultra-wide angle, whose focal length is extremely short, and has alarge depth of field on the first image plane side. This means that therange where the projected image does not appear blurred when thedistance between the projection optical system 1 and the screen 9 haschanged, or in other words, the depth of focus on the second image planeside is also large. Accordingly, although it is easy for fluctuations infocus near the center of the projected images that accompany changes inthe projection distance V3 to be absorbed in the depth of field, thereis also a tendency for fluctuations in aberration (fluctuations in theimage plane) to increase in the periphery of the projected images. Inthis projection optical system 1, the first lens L7 that is the distancecorrecting lens group 71 is moved when focusing is carried out. That is,the first refractive optical system 10 and the first reflective surface31 a do not move and the first lens L7 of the second refractive opticalsystem 20 moves in the direction of the optical axis 100 between thefirst intermediate image 51 on the reducing side and the secondintermediate image 52 on the enlargement side. It is possible to carryout focusing without changing the optical distance between the firstintermediate image 51 and the first reflective surface 31 a.Accordingly, it is possible to prevent fluctuations in the imageformation position and image formation performance for the firstintermediate image 51. This means that by moving the first lens L7, itis easy to form a second intermediate image 52 where fluctuations indistortion and curvature of field that accompany changes in theprojection distance V3 are corrected. Accordingly, it is possible toproject, sharp, ultra-wide angle images in which fluctuations inaberration that accompany changes in the projection distance V3 arecorrected. In addition, both surfaces of the first lens L7, that is, theconvex surface S12 and the concave surface S13, are aspherical surfaces.It is possible to correct aberrations that may fluctuate accompanychanges in the projection distance V3 much more effectively.

The first lens L7 is also the lens that is closest to the firstintermediate image 51 out of the second refractive optical system 20.The projection light 90 disperses in the periphery of the imageformation position of the first intermediate image 51, that is, on theenlargement side of the first intermediate image 51, which makes it easyto separate the light flux for each image angle. In addition, the firstintermediate image 51 is formed so as to be substantially perpendicularto the optical axis 100 so that the image plane becomes slightly tiltedto the reducing side as the distance from the optical axis 100increases. This means that the light rays 90 in the periphery of thefirst intermediate image 51 are dispersed so that the light flux is notconcentrated in a state that is close to telecentric. Accordingly, bydisposing the first lens L7 that carries out focusing at a position thatis closest to the first intermediate image 51, it is possible to carryout fine adjustment of focus without suddenly changing the ray pathswhen carrying out focusing and suppressing fluctuations in aberrationthat accompany focusing and also suppressing lateral magnification(image magnification). It is possible to project sharp enlarged imagesin which focus fluctuations that accompany changes in the projectiondistance V3 are more thoroughly suppressed.

The focusing unit 80 according to the present embodiment includes afirst mechanism that moves the first lens L7 included in the secondrefractive optical system 20 in response to changes in the projectiondistance V3 detected by the distance detecting unit 81. When there is achange in the projection distance V3 from a first projection position P1(where the projecting distance V3=−550 mm) to a second projectionposition P2 (where the projecting distance V3=−700 mm), focusing iscarried out by the first mechanism moving the first lens L7 by around0.64 mm from the reducing side toward the enlargement side, that is fromthe first intermediate image 51 side toward the second intermediateimage 52 side.

In addition, the first reflective surface 31 a does not move whenfocusing is carried out in response to changes in the projectiondistance V3. If the mirror 31 were moved when focusing is carried out,it would be easy for eccentricity to occur and for the image formingperformance to become unbalanced between the near point and the farpoint. In the projection optical system 1, by fixing the mirror 31 andmoving the first lens L7 in response to changes in the projectiondistance V3, focusing can be completed within the second refractiveoptical system 20. This means that it is possible to reduce theinfluence that the mounting tolerance (error) of the mirror 31 has onthe image formation performance for the projected images.

Note that in addition to the distance correcting lens group 71, thefirst focus lens group 61 may include a distance correcting lens groupthat moves when carrying out focusing in response to changes in theprojection distance V3, and it is preferable for such distancecorrecting lens group to be composed of four lenses L8 to L11. It ispossible to correct fluctuations in curvature of field that accompanychanges in the projection distance V3 even more favorably. Therespective distance correcting lens groups may move independently or inconcert.

Also, the first focus lens group 61 may include a temperature correctinglens group (first temperature correcting lens group) that moves whencarrying out focusing in response to changes in the peripheraltemperature of the projection optical system 1, and it is preferable forsuch temperature correcting lens group to be composed of the five lensesL7 to L11. It is possible to project sharp enlarged images in whichfluctuations in focus (fluctuations in back focus) due to changes in therefractive indices of lenses that accompany changes in the temperatureof the periphery in which the projection optical system 1 is set up arecorrected.

The first refractive optical system 10 may also include a second focuslens group that moves when focusing is carried out in response tochanges in the projection environment. The second focus lens group mayinclude a number of distance correcting lens groups (second distancecorrecting lens groups) that move when focusing is carried out inresponse to changes in the projection distance V3, and such number ofdistance correcting lens groups include groups composed of the fourlenses L1 to L4 and groups composed of the two lenses L5 and L6. Inaddition, the second focus lens group may include a temperaturecorrecting lens group (second temperature correcting lens group) thatmoves when focusing is carried out in response to changes in peripheraltemperature and it is preferable for such temperature correcting lensgroup to be composed of the four lenses L1 to L4. That is, the fourlenses L1 to L4 that move as the distance correcting lens group may moveas a temperature correcting lens group. The respective temperaturecorrecting lens groups may move independently or in concert.

In the projection optical system 1, it is easy to separate the lightflux for each image angle before and after the image formation positionof the first intermediate image 51, that is on the reducing side and theenlargement side of the first intermediate image 51. In the projectionoptical system 1, the negative lens L6 that is aspherical on bothsurfaces is disposed on the reducing side of the first intermediateimage 51 with only an air gap in between, and the first lens L7 that isaspherical on both surfaces is disposed on the enlargement side of thefirst intermediate image 51 with only an air gap in between. The firstintermediate image 51 is sandwiched by the convex surface S11 and theconvex surface S12 that are both aspherical. Accordingly, it is possibleto suppress the occurrence of spherical aberration and coma aberrationand to also effectively correct off-axis aberrations such as curvatureof field, astigmatism, and distortion. In addition, the DMD 7 and thefirst reflective surface 31 a are disposed in the first direction 101 a(i.e., the same direction) with respect to the optical axis 100, and theprincipal ray 91 from the DMD 7 is bent toward the first reflectivesurface 31 a via the first intermediate image 51. This means that it iseasy for the lens diameters of the positive lens L6 and the first lensL7 before and after the first intermediate image 51 to increase.Accordingly, by making the negative lens L6 and the positive lens L7 outof resin, it is possible to effectively correct various aberrations andto reduce cost.

It is possible to design the projection optical system 1 so that thePetzval sum (third-order aberration coefficient of curvature of field)PTZ1, the third-order aberration coefficient DST1 of distortion, and thethird-order aberration coefficient TCO1 of coma aberration of the firstrefractive optical system 10, and the Petzval sum PTZ2, the third-orderaberration coefficient DST2 of distortion, and the third-orderaberration coefficient TCO2 of coma aberration of the second refractiveoptical system 20 satisfy the following Conditions (1) to (3).

|PTZ1|<|PTZ2|  (1)

|DST1|<|DST2|  (2)

−0.5<|TCO1|−|TCO2|0.5   (3)

In the projection optical system 1, according to Condition (1) thesecond refractive optical system 20 has a larger correction effect forcurvature of field than the first refractive optical system 10,according to Condition (2) the second refractive optical system 20 has alarger correction effect for distortion than the first refractiveoptical system 10, and according to Condition (3), the correction effectfor coma aberration is substantially equal for the first refractiveoptical system 10 and the second refractive optical system 20. That is,by correcting the majority of the curvature of field and distortiongenerated by the first reflective surface 31 a using the secondrefractive optical system 20 and correcting the curvature of field anddistortion remaining after correction by the second refractive opticalsystem 20 using the first refractive optical system 10, the correctionload of the second refractive optical system 20 is reduced. Accordingly,it is possible to simplify the configuration of the second refractiveoptical system 20 and to make the second refractive optical system 20compact. As the upper limit of Condition (3), 0.25 is desirable and 0.1is even more desirable. In addition, as the lower limit of Condition(3), −0.25 is desirable and −0.1 is even more desirable. Coma aberrationis cancelled out between the first refractive optical system 10 and thesecond refractive optical system 20.

This projection optical system 1 can also be designed so that thecurvature of field (a value of the curvature of field) FC1 of the firstintermediate image 51 and the curvature of field (a value of thecurvature of field) FC2 of the second intermediate image 52 satisfyConditions (4) and (5) below.

0<FC1×FC2   (4)

0.03<|FC1|  (2)

In the projection optical system 1, according to Condition (4), theorientations (signs, plus and minus) of the curvature of field of thefirst intermediate image 51 and the second intermediate image 52 are thesame and according to Condition (5), the curvature of field CF1 of thefirst intermediate image 51 is larger than a predetermined amount andthe curvature of field remaining after correction by the secondrefractive optical system 20 is corrected by the first refractiveoptical system 10. In the present embodiment, according to the firstrefractive optical system 10 and the second refractive optical system20, the first intermediate image 51 and the second intermediate image 52are respectively formed so that a concave image plane is oriented towardthe reducing side (i.e., the image planes are convex on the enlargementside). Alternatively, the first intermediate image 51 and the secondintermediate image 52 may be formed so that a convex image plane isoriented toward the reducing side (i.e., the image planes are concave onthe enlargement side).

In addition, the first refractive optical system 10 forms an image sothat the image plane of the first intermediate image 51 is inclined soas to be tilted toward the reducing side as the distance from theoptical axis 100 increases. This means that it is possible to use adesign where the principal ray 91 emitted from the first intermediateimage 51 towards the optical axis 100, that is, are more downwardlytilted than a telecentric design toward the enlargement side. That is,it is possible to use a design where the ray angle ANG1 of the principalray 91 emitted from the first intermediate image 51 satisfy Condition(6) below.

ANG1<0   (6)

It is possible to design the projection optical system 1 so thataccording to Condition (6), the ray angle ANG1 of the principal ray 91of the first intermediate image 51 becomes negative in a case where thedirection of dispersion (divergence) is positive, or in other wordsbecomes an angle of depression relative to the first axis 111 that isparallel to the optical axis 100. This means that it is not necessary toraise the power of the second refractive optical system 20. It is alsopossible to reduce the lens diameter of the second refractive opticalsystem 20.

FIG. 4 shows lens data of the projection optical system 1. FIG. 5 showsvarious numeric values of the projection optical system 1. In the lensdata, “Ri” represents the radius of curvature (mm) of each lens (i.e.,each lens surface) disposed in order from the DMD (light valve) 7 side,“di” represents the distance (mm) between the respective lens surfacesdisposed in order from the DMD 7 side, “nd” represents the refractiveindex (d line) of each lens disposed in order from the DMD 7 side, and“vd” represents the Abbe number (d line) of each lens disposed in orderfrom the DMD 7 side. In FIG. 4, “Flat” indicates a flat surface. In FIG.5(c), “En” represents “10 to the power n” and as one example, “E-05”represents “10 to the power −5”. The same also applies to the followingembodiments.

As shown in FIG. 5(a), the spatial distance (optical distance,projecting distance) V3 between the first reflective surface 31 a andthe screen 9 is “−550 mm” at the first projection position P1 and “−700mm” at the second projection position P2. In the projection opticalsystem 1, when the projection distance V3 has changed between the firstprojection position P1 and the second projection position P2, focusingis carried out by changing the distance in air gap V1 (d11) between thenegative lens L6 and the positive lens L7 and the distance in air V2(d13) between the positive lens L7 and the positive lens L8.

The convex surface S3 of the positive lens L2, the concave surface S10and convex surface S11 of the negative lens L6, and the convex surfaceS12 and the concave surface S13 of the positive lens L7 and the firstreflective surface 31 a of the mirror 31 are aspherical surfaces. Theaspherical surfaces are expressed by the following expression using thecoefficients K, A3, A4, A6, A8, A10, A12, and A14 shown in FIG. 5(c)with the direction X as the coordinate in the optical axis 100, thedirection Y as the coordinate in a direction perpendicular to theoptical axis 100, the direction in which light propagates as positive,and R as the paraxial radius of curvature. This is also the case for theembodiments described later.

X=(1/R)Y ²/[1+{1−(1+K)(1/R)² Y ²}^(1/2) ]+A3Y ³ +A4Y ⁴ +A6Y ⁶ +A8Y ⁸+A10Y ¹⁰ +A12Y ¹² +A14Y ¹⁴

FIG. 6 shows a coma aberration graph at the first projection position P1of the projection optical system 1. FIG. 7 shows a coma aberration graphat the second projection position P2 of the projection optical system 1.FIG. 8 shows a distortion graph at the first projection position P1 ofthe projection optical system 1. FIG. 9 shows a distortion graph at thesecond projection position P2 of the projection optical system 1. Asshown in FIGS. 6 to 9, all of the aberrations are favorably correctedand it is possible to project sharp enlarged images. Note that comaaberration is shown for a wavelength of 620 nm (dotted line), awavelength of 550 nm (solid line), and a wavelength of 460 nm (dot-dashline).

FIG. 10 shows a projection optical system 2 according to a secondembodiment. FIG. 11 is a ray diagram of the projection optical system 2.The projection optical system 2 is a fixed focus (single focus)-typeprojection optical system that is telecentric on the incident side(reducing side) and does not carrying out zooming. The projectionoptical system 2 includes the first refractive optical system 10 thatincludes twelve lenses L1 to L12, the second refractive optical system20 that includes six lenses L13 to L18, and the first reflective opticalsystem 30 that includes a single mirror (concave mirror) 31 with thefirst reflective surface 31 a, disposed in that order from the DMD 7side on the reducing side. In the projection optical system 2 also,images formed on the DMD 7 that is the first image plane are enlargedand projected onto the screen 9 that is the second image plane by thefirst refractive optical system 10, the second refractive optical system20, and the first reflective optical system 30. Note that componentelements that are the same as the embodiment described above have beenassigned the same numerals and description thereof is omitted.

The first refractive optical system 10 is a lens system that as a wholehas positive refractive power and is composed of a positive meniscuslens L1 whose convex surface S2 is oriented toward the enlargement side,a positive meniscus lens L2 whose convex surface S3 is oriented towardthe reducing side, a cemented lens (balsam lens, triplet) LB1 wherethree lenses are stuck together, a cemented lens LB2 where two lensesare stuck together, a positive meniscus lens L8 whose convex surface S13is oriented toward the enlargement side, a positive lens L9 that isbiconvex, a negative meniscus lens L10 whose convex surface S17 isoriented toward the enlargement side, and a cemented lens LB3 where twolenses are stuck together, disposed in that order from the DMD 7 side.The cemented lens LB1 is composed of a negative meniscus lens L3 whoseconvex surface S5 is oriented toward the reducing side, a positive lensL4 that is biconvex, and a negative meniscus lens L5 whose convexsurface S8 is oriented toward the enlargement side, disposed in thatorder from the DMD 7 side. The cemented lens LB2 is composed of anegative lens L6 that is biconcave and a positive lens L7 that isbiconvex disposed in that order from the DMD 7 side. The cemented lensLB3 is composed of a negative lens L11 that is biconcave and a positivelens L12 that is biconvex disposed in that order from the DMD 7 side.The DMD 7 is disposed on the reducing side of the first refractiveoptical system 10 with a prism (TIR prism) Pr and the cover glass CG,which are disposed in that order from the enlargement side, in between.Both surfaces of the negative lens L10, that is, the concave surface S16on the DMD 7 side and the convex surface S17 on the mirror 31 side, areaspherical surfaces. A stop St is disposed on the mirror 31 side of thecemented lens LB2, that is, in the space between the cemented lens LB2and the positive lens L8.

The second refractive optical system 20 is a lens system that as a wholehas positive refractive power and is composed of a positive meniscuslens L13 whose convex surface S21 is oriented toward the reducing side,a positive meniscus lens L14 whose convex surface S24 is oriented towardthe enlargement side, a positive meniscus lens L15 whose convex surfaceS26 is oriented toward the enlargement side, a positive meniscus lensL16 whose convex surface S28 is oriented toward the enlargement side,and a cemented lens LB4 where two lenses are stuck together, disposed inthat order from the DMD 7 side. The cemented lens LB4 is composed of anegative meniscus lens L17 whose convex surface S29 is oriented towardthe reducing side and a positive lens L18 that is biconvex. Bothsurfaces of the positive lens L13, that is, the convex surface S21 onthe DMD 7 side and the concave surface S22 on the mirror 31 side, areaspherical surfaces.

The second refractive optical system 20 of the projection optical system2 includes a first focus lens group 61 that moves when carrying outfocusing (focus adjustment) in response to changes in the environmentconditions at the projection. The first focus lens group 61 in thepresent embodiment includes a distance correcting lens group (firstdistance correcting lens group) 71 that moves when carrying out focusingin response to changes in the optical distance (projecting distance) V5between the first reflective surface 31 a and the screen 9. The distancecorrecting lens group 71 is composed of a first lens (positive lens) L13that is disposed closest to the reducing side out of the six lenses L13to L18 included in the second refractive optical system 20.

In the projection optical system 2, the positive lens L16 and thepositive lens L15 that have positive refractive power are disposed asthe second and third lenses from the enlargement side of the secondrefractive optical system 20 and the cemented lens LB4 where convexsurfaces S29 and S31 are oriented on both sides is disposed as the lens(final lens) that is closest to the enlargement side of the secondrefractive optical system 20. It is possible to cause the light fluxthat reaches the second intermediate image 52 to effectively convergewithout disposing a lens with negative refractive power immediatelybefore the final lens. Accordingly, it is possible to significantlyreduce the lens diameter on the enlargement side of the secondrefractive optical system 20. This means that it is possible to suppressinterference between the second refractive optical system 20 and thelight flux reflected by the first reflective surface 31 a and it is notnecessary to cut the lenses on the enlargement side of the secondrefractive optical system 20. Accordingly, it is desirable for thesecond refractive optical system 20 to be entirely composed of lenseswith positive refractive power, including or except for the final lens.

In the projection optical system 2, when carrying out focusing, thefirst lens L13 that is the distance correcting lens group 71 and closestto the first intermediate image 51 out of the second refractive opticalsystem 20 is moved. It is possible to carry out fine adjustment of focuswhile suppressing fluctuations in aberration that accompany focusing. Itis possible to project sharp, enlarged images in which fluctuations incurvature of field that accompany changes in the projection distance V5are corrected.

The focusing unit 80 according to the present embodiment includes afirst mechanism that moves the first lens L13 included in the secondrefractive optical system 20 in response to changes in the projectiondistance V5 detected by the distance detecting unit 81. For this reason,when there is a change in the projection distance V5 from the firstprojection position P1 (where the projection distance V5=−469 mm) to thesecond projection position P2 (where the projection distance V5=−1449mm), focusing is carried out by the first mechanism moving the firstlens L13 by around 1.77 mm from the reducing side toward the enlargementside.

The first refractive optical system 10 of the projection optical system2 includes a second focus lens group 62 that moves when carrying outfocusing in response to changes in the projection environment. Thesecond focus lens group 62 according to the present embodiment includesa distance correcting lens group (second distance correcting lens group)72 that moves in response to changes in the projection distance V5. Thedistance correcting lens group 72 is composed of the seven lenses L2 toL8 included in the first refractive optical system 10.

In the projection optical system 2, when carrying out focusing, asidefrom the first lens L13 of the distance correcting lens group 71, thelenses L2 to L8 of the distance correcting lens group 72 are moved. Thatis, the lenses L2 to L8 move along the optical axis 100 between the DMD7 on the reducing side and the first intermediate image 51 on theenlargement side. This means that by moving the lenses L2 to L8, it ispossible to reduce the movement distance of the first lens L13.Accordingly, it is possible to suppress interference between the firstlens L13 and the first intermediate image 51 and possible to carry outfocusing while hardly moving the image formation position of the firstintermediate image 51. This means that it is possible to project a sharpenlarged image where fluctuations in focus that accompany changes in theprojection distance V5 over a wide range are suppressed.

The focusing unit 80 according to the present embodiment includes afirst mechanism that moves the lenses L2 to L8 included in the firstrefractive optical system 10 in response to changes in the projectingdistance V5 detected by the distance detecting unit 81. If theprojection distance V5 changes from the first projection position P1(where the projection distance V5=−469 mm) to the second projectionposition P2 (where the projection distance V5=−1449 mm), focusing iscarried out by the first mechanism moving the lenses L2 to L8 by around0.96 mm from the reducing side to the enlargement side.

Note that in addition to the distance correcting lens group 71, thefirst focus lens group 61 may include a distance correcting lens groupthat moves when focusing is carried out in response to changes in theprojection distance V5 and it is preferable for such distance correctinglens group to be composed of the five lenses L14 to L18.

Also, the first focus lens group 61 may include a temperature correctinglens group (first temperature correcting lens group) that moves whenfocusing is carried out in response to changes in peripheral temperatureof the projection optical system 2, and it is preferable for suchtemperature correcting lens group to be composed of the six lenses L13to L18.

Also, in addition to the distance correcting lens group 72, the secondfocus lens group 62 may include a distance correcting lens group thatmoves when focusing is carried out in response to changes in theprojecting distance V5 and it is preferable for such distance correctinglens group to be composed of the four lenses L9 to L12.

Also, the second focus lens group 62 may include a number of temperaturecorrecting lens groups (second temperature correcting lens groups) thatmove when focusing is carried out in response to changes in peripheraltemperature of the projection optical system 2, and such number oftemperature correcting lens groups include a group composed of thesingle lens L1 and a group composed of the twelve lenses L1 to L12.

FIG. 12 shows lens data of the projection optical system 2. FIG. 13shows various numeric values of the projection optical system 2. Asshown in FIG. 13(a), the distance in air (optical distance, projectiondistance) V5 between the first reflective surface 31 a and the screen 9is “−469 mm” at the first projection position P1 and is “−1449 mm” atthe second projection position P2. In the projection optical system 2,when the projecting distance V5 changes between the first projectionposition P1 and the second projection position P2, focusing is carriedout by changing the distance in air V1(d2) between the positive lens L1and the positive lens L2, the distance in air V2(d13) between thepositive lens L8 and the positive lens L9, the distance in air V3(d20)between the positive lens L12 and the positive lens L13, and thedistance in air V4(d22) between the positive lens L13 and the positivelens L14.

FIG. 14 shows a coma aberration graph at the first projection positionP1 of the projection optical system 2. FIG. 15 shows a coma aberrationgraph at the second projection position P2 of the projection opticalsystem 2. FIG. 16 shows a distortion graph at the first projectionposition P1 of the projection optical system 2. FIG. 17 shows adistortion graph at the second projection position P2 of the projectionoptical system 2. As shown in FIGS. 14 to 17, all of the aberrations arefavorably corrected and it is possible to project sharp enlarged images.Note that coma aberration is shown for a wavelength of 650 nm (dottedline), a wavelength of 550 nm (solid line), and a wavelength of 440 nm(dot-dash line).

FIG. 18 shows a projection optical system 3 according to a thirdembodiment. The projection optical system 3 is a projection opticalsystem of a type where the projection optical system 2 is bent midway inthe first refractive optical system 10. The first refractive opticalsystem 10 of the projection optical system 3 includes a mirror 95 thatbends the optical axis 100 at substantially a right angle in a spacebetween the positive lens L8 and the positive lens L9. In the projectionoptical system 3, by having the mirror 95 bend the first refractiveoptical system 10, it is possible to reduce the overall length of theprojection optical system 3. In addition, by disposing the illuminationoptical system 8 and the focusing mechanism 80 in a space 99 formed bybending the first refractive optical system 10, it is possible tominiaturize a projector 6 including the projection optical system 3, theillumination optical system 8, and the like.

FIG. 19 shows a projection optical system 4 according to a fourthembodiment. This projection optical system 4 is a projection opticalsystem of a type where the projection optical system 2 is bent midway inthe second refractive optical system 20. In addition, FIG. 20 shows aprojection optical system 5 according to a fifth embodiment. Theprojection optical system 5 is a projection optical system of a typewhere the projection optical system 2 is bent between the secondrefractive optical system 20 and the mirror 31. As shown in FIGS. 19 and20, in the projection optical systems 4 and 5, since it is possible tominiaturize the second refractive optical system 20 and the mirror 31,even if the projection direction of the projection light is changed inthe periphery of the mirror 31, it is possible to suppress interferencebetween the projection light reflected by the first reflective surface31 a and the second refractive optical system 20, the mirror 31, and thelike. Such projection optical systems 3 to 5 may be equipped with aplurality of prisms and/or mirror (mirror surfaces) for bending theoptical path multiple times at appropriate positions.

Note that the present invention is not limited to such embodiments andincludes the devices defined by the range of the patent claims. Whencarrying out focusing in response to changes in the peripheraltemperature of the projection optical system, the entire refractiveoptical systems of the first refractive optical system and the secondrefractive optical system may be moved, the second refractive opticalsystem and the first reflective optical system may be moved, the entireprojection optical systems of the first refractive optical system, thesecond refractive optical system, and the first reflective opticalsystem may be moved, or only the first reflective optical system may bemoved. It is also possible to use the optical system including the firstrefractive optical system, the second refractive optical system, and thefirst reflective optical system in a variety of applications includingnot only projection but also image pickup. Also, the lens surfaces andmirror surfaces (reflective surfaces) included in the projection opticalsystems may be spherical or aspherical surfaces with rotationalsymmetry, or such surfaces may be surfaces that do not exhibitrotational symmetry, for example, free-formed curved surfaces. Also, theoptical axis of the first refractive optical system and the optical axisof the second refractive optical system may be shared or may be shifted.Also, the projection optical system may be a fixed focus type that doesnot carry out zooming or may be a variable focus (zoom) type thatcarries out zooming. Also, at least one lens included in the firstrefractive optical system and the second refractive optical systemand/or the reflective surface included in the first reflective opticalsystem may be off-center with respect to the optical axis. In this case,the optical axes of the respective optical systems include the opticalaxes of the main optical elements. Also, the optical axis of the firstrefractive optical system and the optical axis of the second refractiveoptical system may be shared or may be off-center (shifted). Also,another refractive optical system may be provided on an enlargement sideof the first reflective optical system. It is also possible to useanamorphic optical elements for the lenses and/or reflective surfacesincluded in the projection optical system

1. A projection optical system that projects from a first image plane ona reducing side onto a second image plane on an enlargement side,comprising: a first refractive optical system that forms a firstintermediate image on the enlargement side using light incident from thereducing side; a second refractive optical system that forms the firstimage on the reducing side into a second intermediate image on theenlargement side; and a first reflective optical system including afirst reflective surface with positive refractive power that ispositioned on the enlargement side of the second intermediate image,wherein the second refractive optical system includes a first focus lensgroup that moves when focusing is carried out, and the first focus lensgroup includes at least one lens included in the second refractiveoptical system.
 2. The projection optical system according to claim 1,wherein the first focus lens group includes a first distance correctinglens group that moves when focusing is carried out in response tochanges in an optical distance between the first reflective surface andthe second image plane.
 3. The projection optical system according toclaim 2, wherein the first distance correcting lens group includes afirst lens that is positioned closest to a reducing side of the secondrefractive optical system.
 4. The projection optical system according toclaim 1, wherein the first focus lens group includes a first temperaturecorrecting lens group that moves when focusing is carried out inresponse to changes in peripheral temperature of the projection opticalsystem.
 5. The projection optical system according to claim 1, whereinthe first refractive optical system includes a second focus lens groupthat moves when focusing is carried out, and the second focus lens groupincludes at least one lens included in the first refractive opticalsystem.
 6. The projection optical system according to claim 5, whereinthe second focus lens group includes a second distance correcting lensgroup that moves when focusing is carried out in response to changes inan optical distance between the first reflective surface and the secondimage plane.
 7. The projection optical system according to claim 5,wherein the second focus lens group includes a second temperaturecorrecting lens group that moves when focusing is carried out inresponse to changes in peripheral temperature of the projection opticalsystem.
 8. The projection optical system according to claim 1, whereinthe first reflective surface does not move when focusing is carried outin response to changes in an optical distance between the firstreflective surface and the second image plane.
 9. The projection opticalsystem according to claim 1, wherein the first refractive optical systemincludes a negative lens of meniscus type with a convex surface orientedtoward the enlargement side, and the second refractive optical systemincludes a positive lens of meniscus type positioned closest to areducing side of the second refractive optical system and with a convexsurface oriented toward the reducing side.
 10. The projection opticalsystem according to claim 9, wherein the negative lens is positionedclosest to an enlargement side of the first refractive optical system.11. The projection optical system according to claim 9, wherein theconvex surface of the negative lens and the convex surface of thepositive lens are aspherical surfaces.
 12. The projection optical systemaccording to claim 1, wherein a Petzval sum PTZ1 of the first refractiveoptical system, a third-order aberration coefficient DST1 of distortionof the first refractive optical system, a third-order aberrationcoefficient TCO1 of coma aberration of the first refractive opticalsystem, a Petzval sum PTZ2 of the second refractive optical system, athird-order aberration coefficient DST2 of distortion of the secondrefractive optical system, and a third-order aberration coefficient TCO2of coma aberration of the second refractive optical system satisfy thefollowing conditions:|PTZ1|<|PTZ2||DST1|<|DST2|−0.5<|TCO1|−|TCO2|<0.5.
 13. The projection optical system according toclaim 1, wherein a curvature of field FC1 of the first intermediateimage and a curvature of field FC2 of the second intermediate imagesatisfy the following conditions:0<FC1×FC20.03<|FC1|.
 14. The projection optical system according to claim 1,wherein principal ray emitted from the first intermediate image isoriented toward an optical axis of the second refractive optical system.15. A projector apparatus comprising: the projection optical systemaccording to claim 1; and a light modulator that forms an image at thefirst image plane.
 16. A projector system comprising: a projectionoptical system that projects from a first image plane on a reducing sideto a second image plane on an enlargement side; and a focusing mechanismthat carries out focusing of the projection optical system, wherein theprojection optical system includes: a first refractive optical systemthat forms a first intermediate image on the enlargement side usinglight incident from the reducing side; a second refractive opticalsystem that forms the first image on the reducing side into a secondintermediate image on the enlargement side; and a first reflectiveoptical system including a first reflective surface with positiverefractive power that is positioned on the enlargement side of thesecond intermediate image, and the focusing mechanism includes amechanism that moves at least one lens included in the second refractiveoptical system.
 17. A method of carrying out focusing of a projectionoptical system that projects from a first image plane on a reducing sideto a second image plane on an enlargement side, wherein the projectionoptical system includes: a first refractive optical system that forms afirst intermediate image on the enlargement side using light incidentfrom the reducing side; a second refractive optical system that formsthe first image on the reducing side into a second intermediate image onthe enlargement side; and a first reflective optical system including afirst reflective surface with positive refractive power that ispositioned on the enlargement side of the second intermediate image, andthe method comprises moving at least one lens included in the secondrefractive optical system.